OCR A-level Further Maths past papers

OCR A-level Further Maths June 2022 Y540

  • Y540
  • Pure Core 1
  • 1 hour 30 minutes
  • 75 marks

Question paper, Mark scheme, Examiner report: on the OCR website.

Practise this paper's topics

5 new exam questions, 22 minutes, marked as you go. Free, no account.

  • Loci and regions in the Argand diagram
  • Matrix arithmetic, identity and zero
  • Induction for sums and divisibility
  • Roots of unity and their geometry
  • Complex numbers and quadratic roots
Start the 22-minute set

What it tested

  • Core Pure75 marks
  1. Q1Volumes of revolutionHyperbolic functions and identities6 marks
  2. Q2Matrix arithmetic, identity and zeroInverse matrices and singular matrices9 marks
  3. Q3Loci and regions in the Argand diagramComplex numbers and quadratic roots11 marks
  4. Q4Scalar products, perpendicularity and angles4 marks
  5. Q5Polar areas and tangentsPolar coordinates and sketches11 marks
  6. Q6Induction for sums and divisibilityHyperbolic calculus6 marks
  7. Q7Partial fractions, inverse trig and substitution10 marks
  8. Q8Coupled first-order systemsParticular integrals and resonance13 marks
1 more questions
  1. Q9Roots of unity and their geometryRoots and coefficients, transformed roots5 marks

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